All categories

2 years ago

How do I solve this equation? 4-y/5=2-2y/8

Mathematics

2 answers:

Aliun [14]2 years ago

8 0

y=−40

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

4−y5=2−2y8

4+−15y=2+−14y

−15y+4=−14y+2

Step 2: Add 1/4y to both sides.

−15y+4+14y=−14y+2+14y

120y+4=2

Step 3: Subtract 4 from both sides.

120y+4−4=2−4

120y=−2

Step 4: Multiply both sides by 20.

20*(120y)=(20)*(−2)

Answer:

y=−40

PtichkaEL [24]2 years ago

3 0

Answer:

y= -40

Step-by-step explanation:

4 - y/5 = 2 - 2y/8

4 - y/5 = 2 - y/4

4 x 20 - y x 20/5 = 2 x 20 - y x 20/4 (reduce the fractions)

4 x 20 - 4y = 2 x 20 - 5y

80 - 4y = 2 x 20 - 5y

80 - 4y = 40 - 5y

-4y + 5y = 40 - 80

y = 40 - 80

y = - 40

You might be interested in

If a ray bisects an angle, each newly formed angle measures 90 degrees.

prohojiy [21]

Answer:

A) Sometimes

A ) Sometimes is the correct answer because b) always and c) never is not possible

it cannot be always measured 90 degrees

3 0

2 years ago

Read 2 more answers

Consider the following hypothesis test. H0: μ ≥ 55 Ha: μ < 55 A sample of 36 is used. Identify the p-value and state your con

Ket [755]

Answer:

Step-by-step explanation:

Given that:

$H_o: \mu \ge 55 \ \\ \\ H_1 : \mu < 55$

(a) For x = 54 and s = 5.3

The test statistics can be computed as:

$Z = \dfrac{\overline x - \mu}{\dfrac{s}{\sqrt{n}} }$

$Z = \dfrac{54-55}{\dfrac{5.3}{\sqrt{36}} }$

$Z = \dfrac{-1}{\dfrac{5.3}{6} }$

Z = -1.132

degree of freedom = n - 1

= 36 - 1

= 35

Using the Excel Formula:

P-Value = T.DIST(-1.132,35,1) = 0.1326

Decision: p-value is greater than significance level; do not reject $\mathbf{H_o}$

$Conclusion: \ There \ is \ insufficient \ evidence \ to \ conclude \ that \$ $\mu < 55$

For x = 53 and s = 4.6

The test statistics can be computed as:

$Z = \dfrac{\overline x - \mu}{\dfrac{s}{\sqrt{n}} }$

$Z = \dfrac{53-55}{\dfrac{4.6}{\sqrt{36}} }$

$Z = \dfrac{-2}{\dfrac{4.6}{6} }$

Z = -2.6087

degree of freedom = n - 1

= 36 - 1

= 35

Using the Excel Formula:

P-Value = T.DIST(-2.6087,35,1) =0.0066

Decision: p-value is < significance level; we reject the null hypothesis.

$Conclusion: \ There \ is \ sufficient \ evidence \ to \ conclude \ that$ $\mu < 55$

For x = 56 and s = 5.0

The test statistics can be computed as:

$Z = \dfrac{\overline x - \mu}{\dfrac{s}{\sqrt{n}} }$

$Z = \dfrac{56-55}{\dfrac{5.0}{\sqrt{36}} }$

Z = 1.2

degree of freedom = n - 1

= 36 - 1

= 35

Using the Excel Formula:

P-Value = T.DIST(1.2,35,1) = 0.88009

Decision: p-value is greater than significance level; do not reject $\mathbf{H_o}$

$Conclusion: \ There \ is \ insufficient \ evidence \ to \ conclude \ that \$ $\mu < 55$

6 0

3 years ago

Find the slope of the line #3 and 4 please:))

Leokris [45]

Answer:

#3 - y=4

#4 - x=-1

Step-by-step explanation:

With #3 you are only puting the y-value.

With #4 you are only putting the x-value.

5 0

3 years ago

Triangles E F G and K L M are shown. Angles E F G and K L M are congruent. The length of side K L is 6, the length of side M L i

Masteriza [31]

Answer:

The Answer is C: Yes, △EFG~ △KLM by SSS or SAS

Step-by-step explanation:

SSS is for side-side-side

Both triangles have all three sides given, so the SSS similarity theorem is one way to prove these triangles are similar.

SAS is for side-angle-side

Both triangles have one angle measurement given, and two side lengths given, therefore we can also use the SAS similarity theorem to prove the two triangles are similar.

Since both SSS and SAS work to prove the triangles are similar, the correct answer is C: Yes, △EFG~ △KLM by SSS or SAS

(I also just answered this question on the assignment and got it correct)

3 0

2 years ago

Read 2 more answers

Forty percent of the 30 members of the drama club were members of the senior class

andriy [413]

10%of30=3

3x4=12

A. 40%of 30=12 senior class members.

B. 60% of the class were not senior class members

4 0

2 years ago

Read 2 more answers